Cambridge Primary Mathematics Learner's Book 3: Core Skills and Learning Guide | 剑桥小学数学学习者用书第3册：核心技能与学习指南

📚 Cambridge Primary Mathematics Learner’s Book 3: Core Skills and Learning Guide | 剑桥小学数学学习者用书第3册：核心技能与学习指南

Cambridge Primary Mathematics Learner’s Book 3, Second Edition, written by Cherri Moseley and Janet Rees, follows the Cambridge Primary Maths framework for learners aged 7 to 9. It introduces key concepts in number, measurement, geometry and data handling through clear worked examples, structured practice and rich problem-solving tasks.

《剑桥小学数学学习者用书第3册》（第二版）由 Cherri Moseley 与 Janet Rees 编写，遵循剑桥小学数学课程框架，适合 7 至 9 岁学习者。本书通过清晰的例题、循序渐进的练习和丰富的问题解决任务，系统引入数、测量、几何与数据处理等核心概念。

1. Introduction to Learner’s Book 3 | 第3册学习者用书概览

The book is organised into units that match the Cambridge Primary Mathematics curriculum objectives for Stage 3. Each unit opens with a short explanation, followed by ‘Try it’ activities, guided practice and a review section. The second edition adds more visual models and real-life contexts to help learners connect mathematics to everyday situations.

本书各单元与剑桥小学数学第三阶段课程目标对应。每个单元先给出简短说明，然后提供 ‘试一试’ 活动、指导练习和复习环节。第二版增加了更多可视化模型和真实生活情境，帮助学习者将数学与日常生活联系起来。

Teachers and parents can use the book flexibly: it supports classroom teaching, homework, intervention and independent revision. The clear language and step-by-step examples make it accessible for learners who are still building reading confidence.

教师和家长可以灵活使用本书：它既支持课堂教学、家庭作业、干预辅导，也适合独立复习。清晰的语言和分步示例让仍在建立阅读信心的学习者也能轻松理解。

2. Number Sense and Place Value | 数感与位值

In Stage 3, learners work with three-digit numbers. They read, write, compare and order numbers up to 1000, and recognise the value of each digit in hundreds, tens and ones. For example, 547 means 5 hundreds, 4 tens and 7 ones.

在第三阶段，学习者学习三位数。他们读写、比较和排序 1000 以内的数，并认识百位、十位和个位上的数字值。例如，547 表示 5 个百、4 个十和 7 个一。

547 = 500 + 40 + 7

Learners also round numbers to the nearest ten and hundred, and place numbers on a number line marked in steps of 1, 10 or 100. This builds the estimation skills needed for later calculation.

学习者还将数字四舍五入到最接近的十和百，并在以 1、10 或 100 为单位的数轴上定位数字。这为后续计算所需的估算能力打下基础。

3. Addition and Subtraction Strategies | 加减法策略

The book develops both mental and written methods for adding and subtracting three-digit numbers. Learners use place value partitioning, number lines, column addition and column subtraction with carrying and borrowing. They check answers using inverse operations.

本书同时培养三位数加减法的心算与笔算方法。学习者使用位值拆分、数轴、进位加法和退位减法，并利用逆运算检查答案。

356 + 278 = 634 502 − 167 = 335

Use partitioning: 356 + 278 = (300 + 200) + (50 + 70) + (6 + 8)
使用拆分法：356 + 278 = (300 + 200) + (50 + 70) + (6 + 8)
Estimate first: 356 + 278 ≈ 360 + 280 = 640
先估算：356 + 278 ≈ 360 + 280 = 640

Estimation is emphasised before exact calculation, so learners can judge whether an answer is reasonable. Word problems include joining, separating and comparing situations.

本书强调先估算再精确计算，使学习者能够判断答案是否合理。应用题包括合并、分开和比较等情境。

4. Multiplication and Division Foundations | 乘法与除法基础

Stage 3 focuses on the 2, 3, 4, 5 and 10 multiplication tables. Learners see multiplication as repeated addition and as an array, and they use known facts to derive related division facts.

第三阶段重点学习 2、3、4、5 和 10 的乘法表。学习者将乘法理解为重复加法和阵列，并利用已知事实推导相关除法事实。

6 × 4 = 24 → 24 ÷ 4 = 6

Division with remainders is introduced using concrete objects. For example, 23 ÷ 5 = 4 remainder 3. Learners also solve missing-number problems such as 5 × □ = 35.

使用具体实物引入有余数的除法。例如，23 ÷ 5 = 4 余 3。学习者还解决如 5 × □ = 35 这样的缺失数问题。

5. Fractions, Decimals and Money | 分数、小数与货币

The book introduces unit fractions and non-unit fractions, equivalent fractions, and tenths as decimals. Learners shade shapes, use fraction walls and place fractions on a number line.

本书引入单位分数与非单位分数、等值分数以及十分之一写成小数。学习者通过给图形涂色、使用分数墙和在数轴上表示分数来理解概念。

1/2 = 2/4 = 5/10 1/10 = 0.1

Money activities support decimal notation: learners convert pence to pounds, calculate change and solve real-life shopping problems. This links fractions, decimals and measurement in a practical way.

货币活动支持小数表示法的学习：学习者将便士换算为英镑、计算找零并解决真实购物问题。这以实用的方式将分数、小数和测量联系起来。

6. Measurement: Length, Mass and Capacity | 测量：长度、质量与容量

Learners measure and compare lengths, masses and capacities using standard units: millimetres, centimetres, metres, kilometres, grams, kilograms, millilitres and litres. They read scales with different intervals and estimate before measuring.

学习者使用标准单位测量和比较长度、质量与容量：毫米、厘米、米、千米、克、千克、毫升和升。他们读取不同间隔的刻度，并在测量前进行估测。

1 m = 100 cm 1 kg = 1000 g 1 L = 1000 ml

Choose the best unit: use cm for a pencil, m for a classroom, km for a journey.
选择最佳单位：铅笔用厘米，教室用米，行程用千米。
Read a scale correctly: identify the value of each small division before counting.

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Cambridge Primary Mathematics Learner’s Book 3: Core Skills and Learning Guide | 剑桥小学数学学习者用书第3册：核心技能与学习指南